As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

    That substance is vitamin D3. While it is called a vitamin, D3 is really a hormone. It was first used to treat a childhood bone disease called rickets. And, nearly all the research on the benefits of vitamin D3 has been done at doses that are 80 times lower than the optimal doses described in this book. This ground-breaking book is your opportunity to regain your health quickly, safely and easily. In The Optimal Dose, he reveals how vitamin D3 saved his own life when all else failed and explains how this essential vitamin is key to finding answers to your own health questions and challenges.

    This hugely informative and wonderfully entertaining little book answers one hundred essential questions about existence. It unravels the knotty, clarifies the conundrums and sheds light into dark corners. From winning the lottery, placing bets at the races and escaping from bears to sports, Shakespeare, Google, game theory, drunks, divorce settlements and dodgy accounting; from chaos to infinity and everything in between, 100 Essential Things You Didn't Know You Didn't Know has all the answers!

    The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

    6th edition, Updated September 2014 color print

    To top it he had speech difficulties and was vague and inattentive. Albert hated the kind of rote learning he was obliged to do in school, memorizing dates and texts. But as he grew older, it became clear that Albert was no ordinary person. 1905 is often termed his 'miracle year', the year he published not one but four entirely new papers, on four completely different topics.

    Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun.Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.Also available as an eBook

    A riveting history of counting and calculating, from the time of the cave dwellers to the twentieth century, this fascinating volume brings numbers to thrilling life, explaining their development in human terms, the intriguing situations that made them necessary, and the brilliant achievements in human thought that they made possible. It takes us through the numbers story from Europe to China, via ancient Greece and Rome, Mesopotamia, Latin America, India, and the Arabic countries. Exploring the many ways civilizations developed and changed their mathematical systems, Ifrah imparts a unique insight into the nature of human thought–and into how our understanding of numbers and the ways they shape our lives have changed and grown over thousands of years.

    Admittedly real life wasn’t like that. But only, they argued, because we didn’t have enough data to be certain.Then the cracks began to appear. It proved impossible to predict exactly how three planets orbiting each other would move. Meteorologists discovered that the weather was truly chaotic – so dependent on small variations that it could never be predicted for more than a few days out. And the final nail in the coffin was quantum theory, showing that everything in the universe has probability at its heart.That gives human beings a problem. We understand the world through patterns. Randomness and probability will always be alien to us. But it’s time to plunge into this fascinating, shadowy world, because randomness crops up everywhere. Probability and statistics are the only way to get a grip on nature’s workings. They may even seal the fate of free will and predict how the universe will end.Forget Newton’s clockwork universe. Welcome to Dice World.

    A meld of history and science, this book is a group portrait of some of the greatest minds who ever lived as they wrestled with nature’s most sweeping mysteries. The answers they uncovered still hold the key to how we understand the world.At the end of the seventeenth century—an age of religious wars, plague, and the Great Fire of London—when most people saw the world as falling apart, these earliest scientists saw a world of perfect order. They declared that, chaotic as it looked, the universe was in fact as intricate and perfectly regulated as a clock. This was the tail end of Shakespeare’s century, when the natural land the supernatural still twined around each other. Disease was a punishment ordained by God, astronomy had not yet broken free from astrology, and the sky was filled with omens. It was a time when little was known and everything was new. These brilliant, ambitious, curious men believed in angels, alchemy, and the devil, and they also believed that the universe followed precise, mathematical laws—-a contradiction that tormented them and changed the course of history.The Clockwork Universe is the fascinating and compelling story of the bewildered geniuses of the Royal Society, the men who made the modern world.

    Chapters cover cancer, infection, immune disorders, genetics, and disorders of each body system, highlighting pathophysiologic processes, resulting signs and symptoms, diagnostic test findings, and current treatments. Reader-friendly features include illustrations, checklists, and full-color miniguides illustrating the pathophysiology of specific disorders.This edition has new full-color miniguides on cancer pathophysiology and neuropathology. A new Focus on Genetics feature identifies gene-related discoveries and their implications for treatment or diagnosis. Review questions and answers follow current NCLEX-RN® requirements and alternate-format questions are included.

    Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.

     Learn a Proven Step By Step Mixing Process That's Helped Thousands of Musicians Like Yourself Make Amazing Mixes in Their Home Studio, Using Only EQ, Compression, Reverb, Delay, and Saturation "This is the NO BS guide to taking your mixes to the next level! Björgvin has been teaching and writing about recording for a decade, and really understands that stuff that we all struggle with in the home studio. Step By Step Mixing takes you through the full process of making sure your mixes rock from ruff to radio ready!" -Lij Shaw, Award winning Producer and Podcaster of Recording Studio Rockstars Let Me Ask You This: Do you fight to make all your instruments fit together in a busy mix? Do you struggle to EQ each instrument to sit in their frequency range without getting in the way of everything else? Do you tear your hair out finding the right compression setting for each track? Do you have a hard time using reverb and delay without cluttering up your mix? Do you get confused by saturation and how to use it to get a warmer sounding mix? If you answered yes to one of those questions - don't worry - you're not alone. If you want to make better mixes immediately in your home studio that translate to every speaker system, whether you're working on demos for your band of mixing records for your clients, grab Step By Step Mixing right now. Here's What You'll Learn Inside: Learn to get organized and simplify your mixing process to create more mixes that sound better in less time Learn practical EQ tips to make all of your instruments fit in your mix Learn to use compression to create punchy and tight mixes Learn to use reverb and delay to add space and depth to your mixes without cluttering up the song and making yourself sound like an amateur Learn everything you need to know about saturation to add that secret sauce to your songs that make people take notice of your skills Learn an invaluable process to getting your mix to translate to any speaker or sound system Step by Step Mixing covers the theory behind each processor while giving you simple to use, practical audio tips you can use to improve your mixes. Every chapter is broken down as such: Explanations on the theory behind what the plug-ins do and how to use them: You’ll get a thorough walkthrough of the various regions of the frequency spectrum. You’ll understand exactly how to use your compressors. You’ll learn all about the various reverb and delay settings (some reverbs are just too complex!) and you’ll get very familiar with using saturation (without overloading and distorting your mixes!). Common Problems and Their Practical Solutions: After you understand how each processor works we’ll talk about some real world scenarios. I’ll give you some practical and easy to use tips to make your mixes jump out of the speakers. Once you've mastered these five processors above you’ll be ready to make a killer mix in your home studio, whether you’re working on demos for your band or mixing records for your friends and

    Worldreader addresses that problem using e-reader technology. Worldreader works with textbook publishers across the developing world to offer a range of digital textbooks to schools as part of their wider goal to promote literacy by bringing books to all.